Unimodality problems in Ehrhart theory
B Braun - Recent trends in combinatorics, 2016 - Springer
Ehrhart theory is the study of sequences recording the number of integer points in non-
negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is …
negative integral dilates of rational polytopes. For a given lattice polytope, this sequence is …
Positivity theorems for solid-angle polynomials
For a lattice polytope P, define A_P (t) as the sum of the solid angles of all the integer points
in the dilate tP. Ehrhart and Macdonald proved that A_P (t) is a polynomial in the positive …
in the dilate tP. Ehrhart and Macdonald proved that A_P (t) is a polynomial in the positive …